79772664384000 has 960 divisors, whose sum is σ = 329433816172032. Its totient is φ = 18174836736000.

The previous prime is 79772664383957. The next prime is 79772664384097. The reversal of 79772664384000 is 48346627797.

It is a happy number.

79772664384000 is a `hidden beast` number, since 7 + 97 + 72 + 6 + 6 + 438 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1253920192 + ... + 1253983808.

Almost surely, 2^{79772664384000} is an apocalyptic number.

79772664384000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79772664384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164716908086016).

79772664384000 is an abundant number, since it is smaller than the sum of its proper divisors (249661151788032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

79772664384000 is a wasteful number, since it uses less digits than its factorization.

79772664384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63974 (or 63945 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 79772664384000 in words is "seventy-nine trillion, seven hundred seventy-two billion, six hundred sixty-four million, three hundred eighty-four thousand".